M. R. Gabdullin, “On the Squares in the Set of Elements of a Finite Field with Constraints on the Coefficients of Its Basis Expansion”, Mat. Zametki, 2016, Volume 100, Issue 6,Pages <nobr>807

This article is cited in 9 papers

On the Squares in the Set of Elements of a Finite Field with Constraints on the Coefficients of Its Basis Expansion

M. R. Gabdullin^ab

^a Lomonosov Moscow State University
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: Recent results of S. Dartyge, C. Mauduit, and A. Sárközy concerning the problem of the number of squares among the elements of a finite field with constraints on the coefficients of its basis expansion are strengthened.

Keywords: missing digits, finite field, squares, character sum.

UDC: 517

Received: 01.06.2016
Revised: 24.07.2016

DOI: 10.4213/mzm11091